The Bigamist

            A man I know in Bombay committed bigamy by marrying two woman at brief intervals, one without the knowledge of the other Somehow he was not brought to the notice of the law and though, if exposed the axe could fall on him any day, he decided to get the best out of the situation while it lasted.

          He was fond of both the women and had no special preference for either. One lived near Churchgate and the other in Bandra. He worked near a station midway between Chuchgate and Bandra.

         After work he generally went to the station, and took that train which got into the station first- Church gate or Bandra.  He arrived at his destination at random timings. But found that he was visiting his Churchgate wife much more often than the other, despite the fact that both the Churchgate and Bandra trains were on schedules which brought him to his station equally often. The same thing had been happening for a very long time.

       Can you find the reason for the frequency of his Churchgate trips?

Answer:  The train schedule must have been in the tollowing manner:

Chuchgate train into the station at                            1.00 P.M.

                      And Bandra train at                                 1.01 P.M.

Churchgate train into the station at                           1.10 P.M.   

                     And Bandra train at                                  1.11 P.M.  

Churchgate train into the station at                           1.20 P.M.

                     And Bandra train at                                  1.21 P.M.

                   And   so on and so forth.

           This way each train would be arriving every ten minutes but his chances of getting the Churchgate train would be 9 times as great as of getting the Bandra train. Because if he arrives in the station between 1.20 P.M. and 1.21 P.M. he goes on the Bandra train but if he arrives between 1.21 p.m. and 1.30 P.M. he goes to Churchgate.